caa a22 4500 469035765 CHVBK 20180323132755.0 cr unu---uuuuu 170328e19920301xx s 000 0 eng 10.1007/BF01036537 doi (NATIONALLICENCE)springer-10.1007/BF01036537 Curvature phase transition in R 2 quantum gravity and induction of Einstein gravity [Elektronische Daten] [S. Odintsov, I. Shapiro] The phase transition with respect to the curvature in the effective potential ofR 2 quantum gravity with matter is studied. The effective potential is calculated in the framework of the renormalization-group approach up to terms linear in the curvature. A universal expression is obtained for the induced gravitational and cosmological constants. The effective potential, and also the induced cosmological and gravitational constants depend on the relationships between the coupling constants of the original theory and on the gauge parameters. When the matter is represented by a single scalar field values fixed by asymptotic freedom are chosen for the coupling constants. There is no gauge dependence for the unified parametrization-and gauge-invariant effective action. Plenum Publishing Corporation, 1992 Odintsov S. aut Shapiro I. aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 90/3(1992-03-01), 319-326 0040-5779 90:3<319 1992 90 11232 https://doi.org/10.1007/BF01036537 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01036537 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Odintsov S. aut NATIONALLICENCE 700 1- Shapiro I. aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 90/3(1992-03-01), 319-326 0040-5779 90:3<319 1992 90 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer